Volume Calculator

What is a Volume Calculator?

This tool calculates the volume of common 3D shapes — such as cubes, spheres, cylinders, cones, and rectangular prisms — based on their dimensions. It's useful for construction, shipping and packaging, science experiments, and everyday capacity estimation.

Formulas Used

Cube: side³. Sphere: (4/3) × π × radius³. Cylinder: π × radius² × height. Cone: (1/3) × π × radius² × height. Rectangular Prism: length × width × height. Each shape's formula reflects how its specific geometry fills three-dimensional space.

How to Use This Tool

Select your 3D shape and enter its relevant dimensions, and the calculator returns the volume in your chosen unit (cubic cm, cubic meters, cubic feet, liters, etc.).

Examples

Example: A rectangular box measuring 4m × 3m × 2m has a volume of 4 × 3 × 2 = 24 cubic meters.

Frequently Asked Questions

What's the difference between volume and capacity? Volume measures the total three-dimensional space an object occupies or encloses, while capacity typically refers specifically to how much a container can hold — the two are closely related and often used interchangeably for liquid or fillable containers.

Why does a cone have exactly 1/3 the volume of a cylinder with the same base and height? This relationship comes from integral calculus — a cone tapers to a point, effectively "using" only a third of the space that a cylinder with the same base and height would fully occupy.

How do I convert between volume units, like liters and cubic meters? 1 cubic meter equals 1,000 liters, since a liter is defined as exactly 1,000 cubic centimeters, and there are 1,000,000 cubic centimeters in a cubic meter.

Why is volume important in shipping and packaging? Shipping costs and container capacity are often calculated based on volume (dimensional weight), especially for lightweight but bulky items, making accurate volume calculation important for logistics planning.

Can volume be calculated for irregular shapes? Standard formulas apply to regular geometric shapes; irregular objects typically require breaking the shape into combined regular components, or using water displacement methods for physical objects.